Cod sursa(job #487423)
# include <algorithm>
using namespace std ;
const char FIN[] = "scmax.in", FOU[] = "scmax.out" ;
const int MAX = 100005 ;
int N, sol = 1 ;
int modulo(int a,int b,int c){
long long x=1,y=a; // long long is taken to avoid overflow of intermediate results
while(b > 0){
if(b%2 == 1){
x=(x*y)%c;
}
y = (y*y)%c; // squaring the base
b /= 2;
}
return x%c;
}
long long mulmod(long long a,long long b,long long c){
long long x = 0,y=a%c;
while(b > 0){
if(b%2 == 1){
x = (x+y)%c;
}
y = (y*2)%c;
b /= 2;
}
return x%c;
}
bool Fermat(long long p,int iterations){
if(p == 1){ // 1 isn't prime
return false;
}
for(int i=0;i<iterations;i++){
// choose a random integer between 1 and p-1 ( inclusive )
long long a = rand()%(p-1)+1;
// modulo is the function we developed above for modular exponentiation.
if(modulo(a,p-1,p) != 1){
return false; /* p is definitely composite */
}
}
return true; /* p is probably prime */
}
int main ( void ) {
freopen ( "ciur.in", "r", stdin ) ;
freopen ( "ciur.out", "w", stdout ) ;
scanf ( "%d", &N ) ;
for ( int i = 3; i <= N; i += 2 ) {
if ( Fermat ( i, 5 ) ) {
++sol ;
}
}
printf ( "%d", sol ) ;
}